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Finding the Fourth Proportional to 201,877.80, 302,379.30 and 166,885.80

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Solution

The fourth proportional to 201,877.80, 302,379.30 and 166,885.80 is: 249,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,877.80 : 302,379.30 = 166,885.80 : x
  2. Step 2: Convert to fraction form
    201,877.80/302,379.30 = 166,885.80/x
  3. Step 3: Cross multiply
    201,877.80x = 302,379.30 × 166,885.80
  4. Step 4: Simplify right side
    201,877.80x = 50,462,811,383.94
  5. Step 5: Solve for x
    x = 50,462,811,383.94/201,877.80
  6. Step 6: Final answer
    x = 249,967.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.